Mark Allen
Mark Allen
Assistant Professor of Mathematics, Brigham Young University
Verified email at mathematics.byu.edu - Homepage
Title
Cited by
Cited by
Year
A parabolic problem with a fractional time derivative
M Allen, L Caffarelli, A Vasseur
Archive for Rational Mechanics and Analysis 221 (2), 603-630, 2016
1232016
Porous medium flow with both a fractional potential pressure and fractional time derivative
M Allen, L Caffarelli, A Vasseur
Chinese Annals of Mathematics, Series B 38 (1), 45-82, 2017
292017
The two-phase fractional obstacle problem
M Allen, E Lindgren, A Petrosyan
SIAM Journal on Mathematical Analysis 47 (3), 1879-1905, 2015
242015
A nondivergence parabolic problem with a fractional time derivative
M Allen
Differential and Integral Equations 31 (3/4), 215-230, 2018
182018
Separation of a Lower Dimensional Free Boundary in a Two Phase Problem
M Allen
arXiv preprint arXiv:1203.6311, 2012
112012
Hölder regularity for nondivergence nonlocal parabolic equations
M Allen
Calculus of Variations and Partial Differential Equations 57 (4), 110, 2018
92018
A two-phase problem with a lower-dimensional free boundary
M Allen, A Petrosyan
Interfaces and Free Boundaries 14 (3), 307-342, 2012
92012
A fractional free boundary problem related to a plasma problem
M Allen
Communications in Analysis and Geometry 27 (8), 1665-1696, 2019
8*2019
A new boundary Harnack principle (equations with right hand side)
M Allen, H Shahgholian
Archive for Rational Mechanics and Analysis 234 (3), 1413-1444, 2019
62019
Uniqueness for weak solutions of parabolic equations with a fractional time derivative
M Allen
arXiv preprint arXiv:1705.03959, 2017
62017
Free boundaries on two-dimensional cones
M Allen, HC Lara
The Journal of Geometric Analysis 25 (3), 1547-1575, 2015
6*2015
The two-phase parabolic Signorini problem
M Allen, W Shi
Indiana University Mathematics Journal, 727-741, 2016
52016
The fractional unstable obstacle problem
M Allen, MSV Garcia
Nonlinear Analysis 193, 111459, 2020
32020
Thin free boundary problems
MA Allen
Purdue University, 2013
32013
Special Session on Free Boundary Problems Arising in Applications, II
M Allen, MSV Garcia, B Osting
2020 Fall Western Virtual Sectional Meeting, 2020
2020
The Inhomogeneous Boundary Harnack Principle for Fully Nonlinear and p-Laplace equations
M Allen, D Kriventsov, H Shahgholian
arXiv preprint arXiv:2010.11854, 2020
2020
A spiral interface with positive Alt–Caffarelli–Friedman limit at the origin
M Allen, D Kriventsov
Analysis & PDE 13 (1), 201-214, 2020
2020
A free boundary problem on three-dimensional cones
M Allen
Journal of Differential Equations 263 (12), 8481-8507, 2017
2017
Regularity of solutions for a free boundary problem in two dimensions
M Allen
arXiv preprint arXiv:1603.09647, 2016
2016
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Articles 1–19